TSTP Solution File: FLD014-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD014-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:32:53 EDT 2023
% Result : Unsatisfiable 3.60s 1.17s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 9 unt; 0 nHn; 30 RR)
% Number of literals : 64 ( 0 equ; 42 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
cnf(c_52,negated_conjecture,
~ sum(additive_identity,additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
cnf(c_53,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(c_54,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
cnf(c_55,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c_56,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(c_57,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c_66,plain,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c_67,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(c_264,plain,
~ sum(additive_inverse(a),additive_identity,additive_inverse(b)),
inference(resolution,[status(thm)],[c_57,c_52]) ).
cnf(c_326,plain,
( ~ sum(additive_inverse(a),X0,X1)
| ~ sum(X1,X2,additive_inverse(b))
| ~ sum(X0,X2,additive_identity) ),
inference(resolution,[status(thm)],[c_53,c_264]) ).
cnf(c_843,plain,
( ~ sum(additive_inverse(a),X0,X1)
| ~ sum(X1,X2,additive_inverse(b))
| ~ sum(X2,X0,additive_identity) ),
inference(resolution,[status(thm)],[c_326,c_57]) ).
cnf(c_862,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_1464,plain,
( ~ defined(X0)
| sum(X0,additive_inverse(X0),additive_identity) ),
inference(superposition,[status(thm)],[c_56,c_57]) ).
cnf(c_1600,plain,
( ~ sum(a,X0,X1)
| ~ sum(additive_identity,X1,X2)
| sum(b,X0,X2) ),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_1937,plain,
( ~ sum(a,X0,X1)
| ~ defined(X1)
| sum(b,X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_1600]) ).
cnf(c_2115,plain,
( ~ defined(a)
| ~ defined(additive_identity)
| sum(b,additive_inverse(a),additive_identity) ),
inference(superposition,[status(thm)],[c_1464,c_1937]) ).
cnf(c_2839,plain,
( ~ defined(X0)
| sum(X0,additive_inverse(X0),additive_identity) ),
inference(superposition,[status(thm)],[c_56,c_57]) ).
cnf(c_2961,plain,
( ~ sum(a,X0,X1)
| ~ sum(additive_identity,X1,X2)
| sum(b,X0,X2) ),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_3016,plain,
( ~ sum(a,X0,X1)
| ~ defined(X1)
| sum(b,X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_2961]) ).
cnf(c_3153,plain,
( ~ defined(a)
| ~ defined(additive_identity)
| sum(b,additive_inverse(a),additive_identity) ),
inference(superposition,[status(thm)],[c_2839,c_3016]) ).
cnf(c_3560,plain,
sum(b,additive_inverse(a),additive_identity),
inference(global_subsumption_just,[status(thm)],[c_3153,c_66,c_49,c_2115]) ).
cnf(c_3567,plain,
sum(additive_inverse(a),b,additive_identity),
inference(superposition,[status(thm)],[c_3560,c_57]) ).
cnf(c_5059,plain,
( ~ sum(additive_inverse(a),X0,additive_identity)
| ~ sum(additive_inverse(b),X0,additive_identity)
| ~ defined(additive_inverse(b)) ),
inference(resolution,[status(thm)],[c_843,c_55]) ).
cnf(c_5061,plain,
( ~ sum(additive_inverse(b),X0,additive_identity)
| ~ sum(additive_inverse(a),X0,additive_identity) ),
inference(global_subsumption_just,[status(thm)],[c_5059,c_50,c_862,c_5059]) ).
cnf(c_5062,plain,
( ~ sum(additive_inverse(a),X0,additive_identity)
| ~ sum(additive_inverse(b),X0,additive_identity) ),
inference(renaming,[status(thm)],[c_5061]) ).
cnf(c_5133,plain,
( ~ sum(additive_inverse(a),b,additive_identity)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_5062,c_56]) ).
cnf(c_5134,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5133,c_3567,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD014-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Mon Aug 28 00:13:19 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.60/1.17 % SZS status Started for theBenchmark.p
% 3.60/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.17
% 3.60/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.60/1.17
% 3.60/1.17 ------ iProver source info
% 3.60/1.17
% 3.60/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.60/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.60/1.17 git: non_committed_changes: false
% 3.60/1.17 git: last_make_outside_of_git: false
% 3.60/1.17
% 3.60/1.17 ------ Parsing...successful
% 3.60/1.17
% 3.60/1.17
% 3.60/1.17
% 3.60/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.60/1.17
% 3.60/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.60/1.17 ------ Proving...
% 3.60/1.17 ------ Problem Properties
% 3.60/1.17
% 3.60/1.17
% 3.60/1.17 clauses 30
% 3.60/1.17 conjectures 2
% 3.60/1.17 EPR 21
% 3.60/1.17 Horn 27
% 3.60/1.17 unary 7
% 3.60/1.17 binary 6
% 3.60/1.17 lits 81
% 3.60/1.17 lits eq 0
% 3.60/1.17 fd_pure 0
% 3.60/1.17 fd_pseudo 0
% 3.60/1.17 fd_cond 0
% 3.60/1.17 fd_pseudo_cond 0
% 3.60/1.17 AC symbols 0
% 3.60/1.17
% 3.60/1.17 ------ Input Options Time Limit: Unbounded
% 3.60/1.17
% 3.60/1.17
% 3.60/1.17 ------
% 3.60/1.17 Current options:
% 3.60/1.17 ------
% 3.60/1.17
% 3.60/1.17
% 3.60/1.17
% 3.60/1.17
% 3.60/1.17 ------ Proving...
% 3.60/1.17
% 3.60/1.17
% 3.60/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.17
% 3.60/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.60/1.17
% 3.60/1.17
%------------------------------------------------------------------------------